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Can 2 raise to the power something be equal to 0? If yes then at what value?

Note by Prabhav Bansal 2 years, 1 month ago

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Can we say 0.0000000000000000000000000000000000000000000001 equal to zero.

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This would only approach 1. Any negative power would be less than 1.

So technically, \( 2^{-\infty} = 0\). But then again, \(-\infty\) isn't a number.

But still if we say that 2^-100000000000 it is zero.

@Prabhav Bansal – No, it's still not absolute zero.

@Vishnu Bhagyanath – So, finally we conclude that anything raise to the power any integer is not zero.

@Prabhav Bansal – 0 raised to the power of any positive real is 0.

You need to qualify what "anything" refers to.

No, that's the law of logarithm.

No.

No. Because 0 is not a number.

Because 0 is not a number.

Are you sure? xP

I'm guessing you mean infinity?

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TopNewestCan we say 0.0000000000000000000000000000000000000000000001 equal to zero.

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This would only approach 1. Any negative power would be less than 1.

So technically, \( 2^{-\infty} = 0\). But then again, \(-\infty\) isn't a number.

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But still if we say that 2^-100000000000 it is zero.

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You need to qualify what "anything" refers to.

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No, that's the law of logarithm.Log in to reply

No.

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No. Because 0 is not a number.

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Are you sure? xP

I'm guessing you mean infinity?

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